Maksim Kosmakov

collaborators

8 papers

math.MG2026

Rigidity in the planar Ulam floating body problem with perimetral densities $I ¨ = \frac{1}{8}, \frac{3}{8}$ under central symmetry

Oleg Asipchuk, Maksim Kosmakov, Pavel Zatitskii

We prove that the only planar, centrally symmetric, strictly convex body $K \subset R^{2}$ with $C^{1}$ boundary that floats in equilibrium in every orientation for the perimetr…

math.CA2026

Reduction of Multiple Orthogonal Polynomials to Standard Orthogonal Polynomials

Roozbeh Gharakhloo, Maksim Kosmakov, Kenta Miyahara

In this article, we derive explicit formulae expressing multiple orthogonal polynomials in terms of standard orthogonal polynomials. We treat both the real-line and unit-circle set…

math.MG2026

Rigidity in the Planar Ulam Floating Body Problem with perimetral density $I ¨ = \frac{1}{6}$

Oleg Asipchuk, Maksim Kosmakov, Pavel Zatitskii

We study the two-dimensional Ulam's floating body problem for convex domains with perimetral density $I ¨ = \frac{1}{6}$ . Using the framework of Zindler carousels, we reduce the problem…

math-ph2026

A Two-HCIZ Gaussian Matrix Model for Non-intersecting Brownian Bridges

Maksim Kosmakov

We construct a unitarily invariant Hermitian matrix ensemble whose fixed-time eigenvalue law coincides with the Karlin--McGregor law for non-intersecting Brownian bridges with arbi…

math.QA2025

New Combinatorial Formulae for Nested Bethe Vectors

Maksim Kosmakov, Vitaly Tarasov

We give new combinatorial formulae for vector-valued weight functions (off-shell nested Bethe vectors) for the evaluation modules over the Yangian $Y (gl_{4})$ . The case of…

math-ph2025

Connection formulae for the radial Toda equations I

Martin A. Guest, Alexander R. Its, Maksim Kosmakov +2

This paper is the first in a forthcoming series of works where the authors study the global asymptotic behavior of the radial solutions of the 2D periodic Toda equation of type $A_…